Search a number
-
+
65230054136 = 231317192119203
BaseRepresentation
bin111100110000000000…
…111010001011111000
320020100222212002020222
4330300000322023320
52032042343213021
645544414235212
74466314211642
oct746000721370
9206328762228
1065230054136
1125733735155
12107854b5b08
1361c7166890
14322b31b892
151a6b99d6ab
hexf3003a2f8

65230054136 has 128 divisors (see below), whose sum is σ = 147514348800. Its totient is φ = 26713774080.

The previous prime is 65230054111. The next prime is 65230054189. The reversal of 65230054136 is 63145003256.

It is a junction number, because it is equal to n+sod(n) for n = 65230054096 and 65230054105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7083311 + ... + 7092513.

It is an arithmetic number, because the mean of its divisors is an integer number (1152455850).

Almost surely, 265230054136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 65230054136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73757174400).

65230054136 is an abundant number, since it is smaller than the sum of its proper divisors (82284294664).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

65230054136 is a wasteful number, since it uses less digits than its factorization.

65230054136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9469 (or 9465 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 35.

The spelling of 65230054136 in words is "sixty-five billion, two hundred thirty million, fifty-four thousand, one hundred thirty-six".

Divisors: 1 2 4 8 13 17 19 26 34 38 52 68 76 104 136 152 211 221 247 323 422 442 494 646 844 884 988 1292 1688 1768 1976 2584 2743 3587 4009 4199 5486 7174 8018 8398 9203 10972 14348 16036 16796 18406 21944 28696 32072 33592 36812 46631 52117 68153 73624 93262 104234 119639 136306 156451 174857 186524 208468 239278 272612 312902 349714 373048 416936 478556 545224 625804 699428 885989 957112 1251608 1398856 1771978 1941833 2033863 2273141 2972569 3543956 3883666 4067726 4546282 5945138 7087912 7767332 8135452 9092564 11890276 15534664 16270904 18185128 23780552 25243829 33011161 36894827 38643397 50487658 66022322 73789654 77286794 100975316 132044644 147579308 154573588 201950632 264089288 295158616 309147176 429145093 479632751 627212059 858290186 959265502 1254424118 1716580372 1918531004 2508848236 3433160744 3837062008 5017696472 8153756767 16307513534 32615027068 65230054136